2610506880 has 320 divisors, whose sum is σ = 9581588280. Its totient is φ = 676823040.

The previous prime is 2610506867. The next prime is 2610506887. The reversal of 2610506880 is 886050162.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2183505984 + 427000896 = 46728^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2610506887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1917400 + ... + 1918760.

Almost surely, 2^2610506880 is an apocalyptic number.

2610506880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2610506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790794140).

2610506880 is an abundant number, since it is smaller than the sum of its proper divisors (6971081400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2610506880 is a wasteful number, since it uses less digits than its factorization.

2610506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2610506880 is about 51093.1196933599. The cubic root of 2610506880 is about 1376.9186447158.

The spelling of 2610506880 in words is "two billion, six hundred ten million, five hundred six thousand, eight hundred eighty".